Optimal Hysteretic Control for the BMAP/G/ 1 System with Single and Group Service Modes

Alexander Dudin () and Srinivas Chakravarthy ()

Annals of Operations Research, 2002, vol. 112, issue 1, 153-169

Abstract: In this paper, we consider a single server queuing model with an infinite buffer in which customers arrive according to a batch Markovian arrival process (BMAP). The services are offered in two modes. In mode 1, the customers are served one at a time and in mode 2 customers are served in groups of varying sizes. Various costs for holding, service and switching are imposed. For a given hysteretic strategy, we derive an expression for the cost function from which an optimal hysteretic control can be obtained. Illustrative numerical examples are presented. Copyright Kluwer Academic Publishers 2002

Keywords: batch Markovian arrival process; controlled service modes; group services; optimal control (search for similar items in EconPapers)
Date: 2002
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DOI: 10.1023/A:1020985106453

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